Delay-dependent stability criterion for a class of non-linear singular Markovian jump systems with mode-dependent interval time-varying delays

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• 作者：P. Balasubramaniam^a ; ¹ ; ^{balugru@gmail.com} ; R. Krishnasamy^a ; ^{rksamy123@gmail.com} ; R. Rakkiyappan^b ; ^{rakkigru@gmail.com}
• 关键词：Non-linear singular systems ; Linear matrix inequality ; Lyapunov&ndash ; Krasovskii functional ; Markovian jump ; Mode-dependent delay
• 刊名：Communications in Nonlinear Science and Numerical Simulation
• 出版年：2012
• 期刊代码：89_10075704
• 类别：ph
• 出版时间：September, 2012
• 卷：17
• 期：9
• 页码：3612-3627
• 文件大小：445 K

摘要

This paper deals with the problem of stability analysis of non-linear singular systems with Markovian jumping parameters and mode-dependent interval time varying delays. New delay-dependent stability conditions are derived in terms of linear matrix inequalities (LMIs) by constructing a mode-dependent Lyapunov-Krasovskii functional and using some integral inequalities. Numerical examples are presented to illustrate the usefulness and less conservativeness of the proposed theoretical results.